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12013253010 = 23251116137523
BaseRepresentation
bin10110011000000101…
…11011000110010010
31011000020001111001200
423030002323012102
5144100343044020
65304021412030
7603461652153
oct131402730622
934006044050
1012013253010
115105193880
1223b326a016
131195b24c45
1481d6ab92a
154a49dc590
hex2cc0bb192

12013253010 has 96 divisors (see below), whose sum is σ = 34099610688. Its totient is φ = 2910111360.

The previous prime is 12013252943. The next prime is 12013253029. The reversal of 12013253010 is 1035231021.

12013253010 is a `hidden beast` number, since 1 + 2 + 0 + 132 + 530 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1593109 + ... + 1600631.

It is an arithmetic number, because the mean of its divisors is an integer number (355204278).

Almost surely, 212013253010 is an apocalyptic number.

12013253010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12013253010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17049805344).

12013253010 is an abundant number, since it is smaller than the sum of its proper divisors (22086357678).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12013253010 is a wasteful number, since it uses less digits than its factorization.

12013253010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9160 (or 9157 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 12013253010 its reverse (1035231021), we get a palindrome (13048484031).

The spelling of 12013253010 in words is "twelve billion, thirteen million, two hundred fifty-three thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 1613 3226 4839 7523 8065 9678 14517 15046 16130 17743 22569 24195 29034 35486 37615 45138 48390 53229 67707 72585 75230 82753 88715 106458 112845 135414 145170 159687 165506 177430 225690 248259 266145 319374 338535 413765 496518 532290 677070 744777 798435 827530 1241295 1489554 1596870 2482590 3723885 7447770 12134599 24269198 36403797 60672995 72807594 109211391 121345990 133480589 182018985 218422782 266961178 364037970 400441767 546056955 667402945 800883534 1092113910 1201325301 1334805890 2002208835 2402650602 4004417670 6006626505 12013253010